Transformations (AQA GCSE Further Maths): Flashcards
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12 cards from this deck
What is a transformation?
What is a transformation?
How points move or change position
Point P 'mapped' to P' means
Point P 'mapped' to P' means
P has moved to its image point P'
Image point
Image point
New position of a point after transformation
Transformation matrix
Transformation matrix
Matrix describing how all points in plane will move
Matrix if ,
Matrix if ,
Position vector
Position vector
Point's coordinates written vertically for matrix multiplication
Position vector for point
Position vector for point
How to apply transformation matrix to a point
How to apply transformation matrix to a point
Multiply transformation matrix by position vector
Matrix × position vector gives
Matrix × position vector gives
Coordinates of the transformed image point
Identity transformation matrix
Identity transformation matrix
1s on main diagonal, 0s elsewhere; leaves points unchanged
Default direction of rotation transformations
Default direction of rotation transformations
Anticlockwise unless stated otherwise
In position vector, where is x-coordinate?
In position vector, where is x-coordinate?
Top position (above y-coordinate)